Fractal
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In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals
Highly magnified area on the boundary of the Mandelbrot set
The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.)
Mandelbrot set with 12 encirclements
2x 120 degrees recursive IFS
Benoit Mandelbrot
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Benoit B. Mandelbrot was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of phys
Fractal
…chaotic processes (typically either as attractors or as boundaries between basins of attraction). The term "fractal" was coined by the mathematician Benoît Mandelbrot in 1975. Mandelbrot based it on the Latin frāctus, meaning "broken" or "fractured", and used it to extend the concept of theoretical fractional dimensions…
Mandelbrot at a TED conference in 2010
Mandelbrot p 1130861
Mandelbrot speaking about the Mandelbrot set, during his acceptance speech for the Légion d'honneur in 2006
A Mandelbrot set